MeshRatio measure

Description

The meshRatio criterion is the ratio between the maximimum and the minimum distance between two points of the experimental design.

Usage

meshRatio(design)

Arguments

Details

The meshRatio criterion is defined by

meshRatio(code{design})=max(g_1, ..., g_n)/min(g_1, ..., g_n)

where g_i denotes the minimal distance between the point x_i and the other points of the design.

Note that for a regular mesh, meshRatio=1.

Value

A real number equal to the value of the meshRatio criterion for the design.

Author(s)

J. Franco

References

Gunzburer M. and Burkdart J. (2004) Uniformity measures for point samples in hypercubes https://people.sc.fsu.edu/~jburkardt/.

See Also

other distance criteria like meshRatio, phiP and mindist.

discrepancy measures provided by discrepancyCriteria.

Examples

dimension <- 2
n <- 40
X <- matrix(runif(n*dimension),n,dimension)
meshRatio(X)

Results

R version 3.3.1 (2016-06-21) -- "Bug in Your Hair"
Copyright (C) 2016 The R Foundation for Statistical Computing
Platform: x86_64-pc-linux-gnu (64-bit)

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Type 'license()' or 'licence()' for distribution details.

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Type 'contributors()' for more information and
'citation()' on how to cite R or R packages in publications.

Type 'demo()' for some demos, 'help()' for on-line help, or
'help.start()' for an HTML browser interface to help.
Type 'q()' to quit R.

> library(DiceDesign)
> png(filename="/home/ddbj/snapshot/RGM3/R_CC/result/DiceDesign/meshRatio.Rd_%03d_medium.png", width=480, height=480)
> ### Name: meshRatio
> ### Title: MeshRatio measure
> ### Aliases: meshRatio
> ### Keywords: design
> 
> ### ** Examples
> 
> dimension <- 2
> n <- 40
> X <- matrix(runif(n*dimension),n,dimension)
> meshRatio(X)
[1] 29.73768
> 
> 
> 
> 
> 
> dev.off()
null device 
          1 
>